30401010452000 has 96 divisors (see below), whose sum is σ = 74723807222064. Its totient is φ = 12155760384000.

The previous prime is 30401010451979. The next prime is 30401010452009. The reversal of 30401010452000 is 25401010403.

30401010452000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1201382597776 + 29199627854224 = 1096076^2 + 5403668^2 .

It is a super-2 number, since 2×30401010452000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (30401010452009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9034124 + ... + 11933876.

Almost surely, 2^{30401010452000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30401010452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37361903611032).

30401010452000 is an abundant number, since it is smaller than the sum of its proper divisors (44322796770064).

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

30401010452000 is a wasteful number, since it uses less digits than its factorization.

30401010452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902399 (or 2902381 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 30401010452000 its reverse (25401010403), we get a palindrome (30426411462403).

The spelling of 30401010452000 in words is "thirty trillion, four hundred one billion, ten million, four hundred fifty-two thousand".