4090077951120 has 400 divisors, whose sum is σ = 16262007379200. Its totient is φ = 933308034048.

The previous prime is 4090077951119. The next prime is 4090077951137. The reversal of 4090077951120 is 211597700904.

4090077951120 is a `hidden beast` number, since 40 + 9 + 0 + 0 + 7 + 79 + 511 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27095374 + ... + 27245906.

It is an arithmetic number, because the mean of its divisors is an integer number (40655018448).

Almost surely, 2^{4090077951120} is an apocalyptic number.

4090077951120 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 4090077951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131003689600).

4090077951120 is an abundant number, since it is smaller than the sum of its proper divisors (12171929428080).

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

4090077951120 is a wasteful number, since it uses less digits than its factorization.

4090077951120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151164 (or 151149 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 4090077951120 in words is "four trillion, ninety billion, seventy-seven million, nine hundred fifty-one thousand, one hundred twenty".