40082424511536 has 300 divisors, whose sum is σ = 130770750473352. Its totient is φ = 11754372672000.

The previous prime is 40082424511483. The next prime is 40082424511583. The reversal of 40082424511536 is 63511542428004.

40082424511536 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 2 + 42 + 451 + 153 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40082424511491 and 40082424511500.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12237156 + ... + 15162876.

Almost surely, 2^{40082424511536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40082424511536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65385375236676).

40082424511536 is an abundant number, since it is smaller than the sum of its proper divisors (90688325961816).

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

40082424511536 is a wasteful number, since it uses less digits than its factorization.

40082424511536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925814 (or 2925768 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 40082424511536 in words is "forty trillion, eighty-two billion, four hundred twenty-four million, five hundred eleven thousand, five hundred thirty-six".