40529661990048 has 480 divisors, whose sum is σ = 149225571589248. Its totient is φ = 10483491225600.

The previous prime is 40529661990031. The next prime is 40529661990073. The reversal of 40529661990048 is 84009916692504.

40529661990048 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 9 + 6 + 619 + 9 + 0 + 0 + 4 + 8 = 666.

40529661990048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 47678436 + ... + 48521052.

Almost surely, 2^{40529661990048} is an apocalyptic number.

40529661990048 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 40529661990048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74612785794624).

40529661990048 is an abundant number, since it is smaller than the sum of its proper divisors (108695909599200).

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

40529661990048 is a wasteful number, since it uses less digits than its factorization.

40529661990048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842898 (or 842881 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 40529661990048 in words is "forty trillion, five hundred twenty-nine billion, six hundred sixty-one million, nine hundred ninety thousand, forty-eight".