40726022400 has 1512 divisors, whose sum is σ = 182838089280. Its totient is φ = 8778792960.

The previous prime is 40726022399. The next prime is 40726022411. The reversal of 40726022400 is 422062704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 947116779 + ... + 947116821.

Almost surely, 2^40726022400 is an apocalyptic number.

40726022400 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 40726022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91419044640).

40726022400 is an abundant number, since it is smaller than the sum of its proper divisors (142112066880).

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

40726022400 is an equidigital number, since it uses as much as digits as its factorization.

40726022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 40726022400 in words is "forty billion, seven hundred twenty-six million, twenty-two thousand, four hundred".