40082642600 has 288 divisors, whose sum is σ = 125820786240. Its totient is φ = 11531520000.

The previous prime is 40082642591. The next prime is 40082642657. The reversal of 40082642600 is 624628004.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2594900 + ... + 2610300.

It is an arithmetic number, because the mean of its divisors is an integer number (436877730).

Almost surely, 2^40082642600 is an apocalyptic number.

40082642600 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 40082642600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62910393120).

40082642600 is an abundant number, since it is smaller than the sum of its proper divisors (85738143640).

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

40082642600 is a wasteful number, since it uses less digits than its factorization.

40082642600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15461 (or 15439 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 40082642600 in words is "forty billion, eighty-two million, six hundred forty-two thousand, six hundred".