45972210240 has 168 divisors, whose sum is σ = 172500389568. Its totient is φ = 11144770560.

The previous prime is 45972210211. The next prime is 45972210269. The reversal of 45972210240 is 4201227954.

45972210240 is a `hidden beast` number, since 4 + 597 + 2 + 21 + 0 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (45972210211) and next prime (45972210269).

It is a super-2 number, since 2×45972210240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45972210195 and 45972210204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693892 + ... + 757251.

Almost surely, 2^45972210240 is an apocalyptic number.

45972210240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45972210240 is an abundant number, since it is smaller than the sum of its proper divisors (126528179328).

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

45972210240 is a wasteful number, since it uses less digits than its factorization.

45972210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451177 (or 1451164 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 45972210240 in words is "forty-five billion, nine hundred seventy-two million, two hundred ten thousand, two hundred forty".