120704219677440 has 1152 divisors, whose sum is σ = 520235536343040. Its totient is φ = 25870565376000.

The previous prime is 120704219677361. The next prime is 120704219677451. The reversal of 120704219677440 is 44776912407021.

120704219677440 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 0 + 4 + 2 + 196 + 7 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1114471290 + ... + 1114579590.

It is an arithmetic number, because the mean of its divisors is an integer number (451593347520).

Almost surely, 2^{120704219677440} is an apocalyptic number.

120704219677440 is a gapful number since it is divisible by the number (10) 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 120704219677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260117768171520).

120704219677440 is an abundant number, since it is smaller than the sum of its proper divisors (399531316665600).

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

120704219677440 is a wasteful number, since it uses less digits than its factorization.

120704219677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108626 (or 108606 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 120704219677440 in words is "one hundred twenty trillion, seven hundred four billion, two hundred nineteen million, six hundred seventy-seven thousand, four hundred forty".