40832825222400 has 864 divisors, whose sum is σ = 144509726785536. Its totient is φ = 10135265280000.

The previous prime is 40832825222383. The next prime is 40832825222417. The reversal of 40832825222400 is 422252823804.

It is an interprime number because it is at equal distance from previous prime (40832825222383) and next prime (40832825222417).

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, 1732615417 + ... + 1732638983.

It is an arithmetic number, because the mean of its divisors is an integer number (167256628224).

Almost surely, 2^{40832825222400} is an apocalyptic number.

40832825222400 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 40832825222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72254863392768).

40832825222400 is an abundant number, since it is smaller than the sum of its proper divisors (103676901563136).

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

40832825222400 is a wasteful number, since it uses less digits than its factorization.

40832825222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23739 (or 23720 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 40832825222400 in words is "forty trillion, eight hundred thirty-two billion, eight hundred twenty-five million, two hundred twenty-two thousand, four hundred".