40952197073088 has 896 divisors, whose sum is σ = 140911819776000. Its totient is φ = 11422488637440.

The previous prime is 40952197073071. The next prime is 40952197073131. The reversal of 40952197073088 is 88037079125904.

40952197073088 is a `hidden beast` number, since 4 + 0 + 9 + 521 + 9 + 70 + 7 + 30 + 8 + 8 = 666.

It is a super-2 number, since 2×40952197073088² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32527558603 + ... + 32527559861.

It is an arithmetic number, because the mean of its divisors is an integer number (157267656000).

Almost surely, 2^{40952197073088} is an apocalyptic number.

40952197073088 is a gapful number since it is divisible by the number (48) 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 40952197073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70455909888000).

40952197073088 is an abundant number, since it is smaller than the sum of its proper divisors (99959622702912).

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

40952197073088 is a wasteful number, since it uses less digits than its factorization.

40952197073088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 40952197073088 in words is "forty trillion, nine hundred fifty-two billion, one hundred ninety-seven million, seventy-three thousand, eighty-eight".