40214092800 has 1056 divisors, whose sum is σ = 166348718080. Its totient is φ = 8360755200.

The previous prime is 40214092757. The next prime is 40214092843. The reversal of 40214092800 is 829041204.

It is an interprime number because it is at equal distance from previous prime (40214092757) and next prime (40214092843).

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 95 ways as a sum of consecutive naturals, for example, 316646337 + ... + 316646463.

Almost surely, 2^40214092800 is an apocalyptic number.

40214092800 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 40214092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174359040).

40214092800 is an abundant number, since it is smaller than the sum of its proper divisors (126134625280).

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

40214092800 is a wasteful number, since it uses less digits than its factorization.

40214092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 40214092800 in words is "forty billion, two hundred fourteen million, ninety-two thousand, eight hundred".