107074442730400 has 144 divisors (see below), whose sum is σ = 276829649815320. Its totient is φ = 40301936640000.

The previous prime is 107074442730397. The next prime is 107074442730413. The reversal of 107074442730400 is 4037244470701.

It can be written as a sum of positive squares in 12 ways, for example, as 4370892686224 + 102703550044176 = 2090668^2 + 10134276^2 .

It is a super-2 number, since 2×107074442730400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64308400 + ... + 65952400.

Almost surely, 2^{107074442730400} is an apocalyptic number.

107074442730400 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 107074442730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138414824907660).

107074442730400 is an abundant number, since it is smaller than the sum of its proper divisors (169755207084920).

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

107074442730400 is a wasteful number, since it uses less digits than its factorization.

107074442730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648827 (or 1648814 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 43.

The spelling of 107074442730400 in words is "one hundred seven trillion, seventy-four billion, four hundred forty-two million, seven hundred thirty thousand, four hundred".