30169391400 has 144 divisors (see below), whose sum is σ = 103230876060. Its totient is φ = 7893350400.

The previous prime is 30169391383. The next prime is 30169391429. The reversal of 30169391400 is 419396103.

30169391400 = T₂₅₇ + T₂₅₈ + ... + T₅₆₅₆.

30169391400 is a `hidden beast` number, since 3 + 0 + 169 + 3 + 91 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11338416324 + 18830975076 = 106482^2 + 137226^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62721 + ... + 253520.

Almost surely, 2^30169391400 is an apocalyptic number.

30169391400 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 30169391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51615438030).

30169391400 is an abundant number, since it is smaller than the sum of its proper divisors (73061484660).

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

30169391400 is a wasteful number, since it uses less digits than its factorization.

30169391400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316316 (or 316304 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 30169391400 in words is "thirty billion, one hundred sixty-nine million, three hundred ninety-one thousand, four hundred".