40465532100 has 144 divisors (see below), whose sum is σ = 135310089600. Its totient is φ = 9145297920.

The previous prime is 40465532087. The next prime is 40465532161. The reversal of 40465532100 is 123556404.

40465532100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40465532100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78646 + ... + 295154.

It is an arithmetic number, because the mean of its divisors is an integer number (939653400).

Almost surely, 2^40465532100 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 40465532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67655044800).

40465532100 is an abundant number, since it is smaller than the sum of its proper divisors (94844557500).

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

40465532100 is a wasteful number, since it uses less digits than its factorization.

40465532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216622 (or 216615 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 40465532100 in words is "forty billion, four hundred sixty-five million, five hundred thirty-two thousand, one hundred".