12473948471040 has 1296 divisors, whose sum is σ = 52179501235680. Its totient is φ = 2844886302720.

The previous prime is 12473948471029. The next prime is 12473948471051. The reversal of 12473948471040 is 4017484937421.

12473948471040 is a `hidden beast` number, since 1 + 2 + 47 + 3 + 94 + 8 + 471 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12473948471029) and next prime (12473948471051).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×12473948471040² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13427285296 + ... + 13427286224.

It is an arithmetic number, because the mean of its divisors is an integer number (40261960830).

Almost surely, 2^{12473948471040} is an apocalyptic number.

12473948471040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12473948471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26089750617840).

12473948471040 is an abundant number, since it is smaller than the sum of its proper divisors (39705552764640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12473948471040 is an frugal number, since it uses more digits than its factorization.

12473948471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 12473948471040 in words is "twelve trillion, four hundred seventy-three billion, nine hundred forty-eight million, four hundred seventy-one thousand, forty".