45935899914240 has 2496 divisors, whose sum is σ = 193388229844992. Its totient is φ = 9866575872000.

The previous prime is 45935899914187. The next prime is 45935899914263. The reversal of 45935899914240 is 4241999853954.

45935899914240 is a `hidden beast` number, since 4 + 5 + 9 + 3 + 589 + 9 + 9 + 14 + 24 + 0 = 666.

It is a super-2 number, since 2×45935899914240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 335298539452 + ... + 335298539588.

It is an arithmetic number, because the mean of its divisors is an integer number (77479258752).

Almost surely, 2^{45935899914240} is an apocalyptic number.

45935899914240 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 45935899914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96694114922496).

45935899914240 is an abundant number, since it is smaller than the sum of its proper divisors (147452329930752).

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

45935899914240 is a wasteful number, since it uses less digits than its factorization.

45935899914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 45935899914240 in words is "forty-five trillion, nine hundred thirty-five billion, eight hundred ninety-nine million, nine hundred fourteen thousand, two hundred forty".