40500356400 has 600 divisors, whose sum is σ = 166968353024. Its totient is φ = 9209894400.

The previous prime is 40500356389. The next prime is 40500356423. The reversal of 40500356400 is 465300504.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64184085 + ... + 64184715.

Almost surely, 2^40500356400 is an apocalyptic number.

40500356400 is a gapful number since it is divisible by the number (40) 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 40500356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83484176512).

40500356400 is an abundant number, since it is smaller than the sum of its proper divisors (126467996624).

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

40500356400 is a wasteful number, since it uses less digits than its factorization.

40500356400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 40500356400 its reverse (465300504), we get a palindrome (40965656904).

It can be divided in two parts, 40500 and 356400, that added together give a square (396900 = 630²).

The spelling of 40500356400 in words is "forty billion, five hundred million, three hundred fifty-six thousand, four hundred".