107041358054400 has 2112 divisors, whose sum is σ = 448411683815424. Its totient is φ = 21875392512000.

The previous prime is 107041358054377. The next prime is 107041358054401. The reversal of 107041358054400 is 4450853140701.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×107041358054400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (107041358054401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109561266712 + ... + 109561267688.

Almost surely, 2^{107041358054400} is an apocalyptic number.

107041358054400 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 107041358054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224205841907712).

107041358054400 is an abundant number, since it is smaller than the sum of its proper divisors (341370325761024).

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

107041358054400 is a wasteful number, since it uses less digits than its factorization.

107041358054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 107041358054400 in words is "one hundred seven trillion, forty-one billion, three hundred fifty-eight million, fifty-four thousand, four hundred".