40958400 has 336 divisors, whose sum is σ = 163275264. Its totient is φ = 8785920.

The previous prime is 40958399. The next prime is 40958413. The reversal of 40958400 is 485904.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 772774 + ... + 772826.

Almost surely, 2^40958400 is an apocalyptic number.

40958400 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 40958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81637632).

40958400 is an abundant number, since it is smaller than the sum of its proper divisors (122316864).

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

40958400 is a wasteful number, since it uses less digits than its factorization.

40958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 40958400 is about 6399.8749987793. The cubic root of 40958400 is about 344.7050619411.

The spelling of 40958400 in words is "forty million, nine hundred fifty-eight thousand, four hundred".