12949154951040 has 4096 divisors, whose sum is σ = 63756730368000. Its totient is φ = 2401527398400.

The previous prime is 12949154951039. The next prime is 12949154951081. The reversal of 12949154951040 is 4015945194921.

12949154951040 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 9 + 1 + 549 + 51 + 0 + 40 = 666.

It is a super-2 number, since 2×12949154951040² (a number of 27 digits) contains 22 as substring.

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 511 ways as a sum of consecutive naturals, for example, 41371101924 + ... + 41371102236.

It is an arithmetic number, because the mean of its divisors is an integer number (15565608000).

Almost surely, 2^{12949154951040} is an apocalyptic number.

12949154951040 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 12949154951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31878365184000).

12949154951040 is an abundant number, since it is smaller than the sum of its proper divisors (50807575416960).

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

12949154951040 is a wasteful number, since it uses less digits than its factorization.

12949154951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 12949154951040 in words is "twelve trillion, nine hundred forty-nine billion, one hundred fifty-four million, nine hundred fifty-one thousand, forty".