47540926218240 has 1904 divisors, whose sum is σ = 210641221972608. Its totient is φ = 10030613004288.

The previous prime is 47540926218221. The next prime is 47540926218241. The reversal of 47540926218240 is 4281262904574.

47540926218240 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 0 + 9 + 2 + 621 + 8 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47540926218241) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3656994324474 + ... + 3656994324486.

Almost surely, 2^{47540926218240} is an apocalyptic number.

47540926218240 is a gapful number since it is divisible by the number (40) 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 47540926218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105320610986304).

47540926218240 is an abundant number, since it is smaller than the sum of its proper divisors (163100295754368).

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

47540926218240 is an frugal number, since it uses more digits than its factorization.

47540926218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 47540926218240 in words is "forty-seven trillion, five hundred forty billion, nine hundred twenty-six million, two hundred eighteen thousand, two hundred forty".