30100380710400 has 7200 divisors, whose sum is σ = 158555874774528. Its totient is φ = 5465545113600.

The previous prime is 30100380710399. The next prime is 30100380710447. The reversal of 30100380710400 is 401708300103.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a super-2 number, since 2×30100380710400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 310313203152 + ... + 310313203248.

Almost surely, 2^{30100380710400} is an apocalyptic number.

30100380710400 is a gapful number since it is divisible by the number (30) 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 30100380710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79277937387264).

30100380710400 is an abundant number, since it is smaller than the sum of its proper divisors (128455494064128).

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

30100380710400 is a wasteful number, since it uses less digits than its factorization.

30100380710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 30100380710400 in words is "thirty trillion, one hundred billion, three hundred eighty million, seven hundred ten thousand, four hundred".