4100077362240 has 280 divisors, whose sum is σ = 14593437513600. Its totient is φ = 1092698698752.

The previous prime is 4100077362221. The next prime is 4100077362281. The reversal of 4100077362240 is 422637700014.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4100077362195 and 4100077362204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43991529 + ... + 44084631.

Almost surely, 2^{4100077362240} is an apocalyptic number.

4100077362240 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 4100077362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296718756800).

4100077362240 is an abundant number, since it is smaller than the sum of its proper divisors (10493360151360).

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

4100077362240 is a wasteful number, since it uses less digits than its factorization.

4100077362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94831 (or 94812 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 4100077362240 in words is "four trillion, one hundred billion, seventy-seven million, three hundred sixty-two thousand, two hundred forty".