40772400 has 120 divisors (see below), whose sum is σ = 132987024. Its totient is φ = 10675200.

The previous prime is 40772393. The next prime is 40772401. The reversal of 40772400 is 427704.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×40772400³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40772401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72922 + ... + 73478.

Almost surely, 2^40772400 is an apocalyptic number.

40772400 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 40772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66493512).

40772400 is an abundant number, since it is smaller than the sum of its proper divisors (92214624).

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

40772400 is a wasteful number, since it uses less digits than its factorization.

40772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 40772400 is about 6385.3269297664. The cubic root of 40772400 is about 344.1824793516.

The spelling of 40772400 in words is "forty million, seven hundred seventy-two thousand, four hundred".