40758400 has 96 divisors (see below), whose sum is σ = 103207680. Its totient is φ = 15897600.

The previous prime is 40758383. The next prime is 40758407. The reversal of 40758400 is 485704.

It is a super-2 number, since 2×40758400² = 3322494341120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40758407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150265 + ... + 150535.

It is an arithmetic number, because the mean of its divisors is an integer number (1075080).

Almost surely, 2^40758400 is an apocalyptic number.

40758400 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 40758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51603840).

40758400 is an abundant number, since it is smaller than the sum of its proper divisors (62449280).

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

40758400 is a wasteful number, since it uses less digits than its factorization.

40758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 40758400 is about 6384.2305722773. The cubic root of 40758400 is about 344.1430809160.

The spelling of 40758400 in words is "forty million, seven hundred fifty-eight thousand, four hundred".