40813624578048 has 416 divisors, whose sum is σ = 125063809339392. Its totient is φ = 11596057804800.

The previous prime is 40813624578029. The next prime is 40813624578163. The reversal of 40813624578048 is 84087542631804.

It is a junction number, because it is equal to n+sod(n) for n = 40813624577982 and 40813624578000.

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, 27011001613 + ... + 27011003123.

Almost surely, 2^{40813624578048} is an apocalyptic number.

40813624578048 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 40813624578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62531904669696).

40813624578048 is an abundant number, since it is smaller than the sum of its proper divisors (84250184761344).

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

40813624578048 is a wasteful number, since it uses less digits than its factorization.

40813624578048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 40813624578048 in words is "forty trillion, eight hundred thirteen billion, six hundred twenty-four million, five hundred seventy-eight thousand, forty-eight".