40216533561204 has 384 divisors, whose sum is σ = 136208737996800. Its totient is φ = 8887945605120.

The previous prime is 40216533561199. The next prime is 40216533561233.

40216533561204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6063192 + ... + 10825680.

It is an arithmetic number, because the mean of its divisors is an integer number (354710255200).

Almost surely, 2^{40216533561204} is an apocalyptic number.

40216533561204 is a gapful number since it is divisible by the number (44) 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 40216533561204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68104368998400).

40216533561204 is an abundant number, since it is smaller than the sum of its proper divisors (95992204435596).

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

40216533561204 is a wasteful number, since it uses less digits than its factorization.

40216533561204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762583 (or 4762581 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

It can be divided in two parts, 4021653 and 3561204, that added together give a palindrome (7582857).

The spelling of 40216533561204 in words is "forty trillion, two hundred sixteen billion, five hundred thirty-three million, five hundred sixty-one thousand, two hundred four".