40102877383800 has 384 divisors, whose sum is σ = 155945935964160. Its totient is φ = 8281940774400.

The previous prime is 40102877383769. The next prime is 40102877383813. The reversal of 40102877383800 is 838377820104.

It is a happy number.

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, 4867939 + ... + 10193261.

It is an arithmetic number, because the mean of its divisors is an integer number (406109208240).

Almost surely, 2^{40102877383800} is an apocalyptic number.

40102877383800 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 40102877383800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77972967982080).

40102877383800 is an abundant number, since it is smaller than the sum of its proper divisors (115843058580360).

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

40102877383800 is a wasteful number, since it uses less digits than its factorization.

40102877383800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325523 (or 5325514 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 40102877383800 in words is "forty trillion, one hundred two billion, eight hundred seventy-seven million, three hundred eighty-three thousand, eight hundred".