10030700726400 has 384 divisors, whose sum is σ = 34991601644160. Its totient is φ = 2516823244800.

The previous prime is 10030700726393. The next prime is 10030700726411. The reversal of 10030700726400 is 462700703001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10030700726400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886333542 + ... + 886344858.

It is an arithmetic number, because the mean of its divisors is an integer number (91123962615).

Almost surely, 2^{10030700726400} is an apocalyptic number.

10030700726400 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 10030700726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17495800822080).

10030700726400 is an abundant number, since it is smaller than the sum of its proper divisors (24960900917760).

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

10030700726400 is a wasteful number, since it uses less digits than its factorization.

10030700726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16792 (or 16775 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 10030700726400 in words is "ten trillion, thirty billion, seven hundred million, seven hundred twenty-six thousand, four hundred".