40152623107000 has 128 divisors (see below), whose sum is σ = 99114054624000. Its totient is φ = 15183145641600.

The previous prime is 40152623106991. The next prime is 40152623107033. The reversal of 40152623107000 is 70132625104.

It is a super-2 number, since 2×40152623107000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6610371 + ... + 11135629.

It is an arithmetic number, because the mean of its divisors is an integer number (774328551750).

Almost surely, 2^{40152623107000} is an apocalyptic number.

40152623107000 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 40152623107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49557027312000).

40152623107000 is an abundant number, since it is smaller than the sum of its proper divisors (58961431517000).

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

40152623107000 is a wasteful number, since it uses less digits than its factorization.

40152623107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525766 (or 4525752 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 40152623107000 in words is "forty trillion, one hundred fifty-two billion, six hundred twenty-three million, one hundred seven thousand".