40126900320 has 864 divisors, whose sum is σ = 158500323072. Its totient is φ = 9219944448.

The previous prime is 40126900279. The next prime is 40126900397. The reversal of 40126900320 is 2300962104.

It is a super-2 number, since 2×40126900320² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 375017707 + ... + 375017813.

It is an arithmetic number, because the mean of its divisors is an integer number (183449448).

Almost surely, 2^40126900320 is an apocalyptic number.

40126900320 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 40126900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79250161536).

40126900320 is an abundant number, since it is smaller than the sum of its proper divisors (118373422752).

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

40126900320 is a wasteful number, since it uses less digits than its factorization.

40126900320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 40126900320 in words is "forty billion, one hundred twenty-six million, nine hundred thousand, three hundred twenty".