40449961633536 has 1152 divisors, whose sum is σ = 149160327680000. Its totient is φ = 10528388481024.

The previous prime is 40449961633531. The next prime is 40449961633547. The reversal of 40449961633536 is 63533616994404.

40449961633536 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 9 + 9 + 61 + 6 + 33 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40449961633531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22610374530 + ... + 22610376318.

Almost surely, 2^{40449961633536} 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 40449961633536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74580163840000).

40449961633536 is an abundant number, since it is smaller than the sum of its proper divisors (108710366046464).

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

40449961633536 is a wasteful number, since it uses less digits than its factorization.

40449961633536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 40449961633536 in words is "forty trillion, four hundred forty-nine billion, nine hundred sixty-one million, six hundred thirty-three thousand, five hundred thirty-six".