30269030400 has 1440 divisors, whose sum is σ = 140421012480. Its totient is φ = 6228541440.

The previous prime is 30269030333. The next prime is 30269030419. The reversal of 30269030400 is 403096203.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×30269030400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1316044789 + ... + 1316044811.

It is an arithmetic number, because the mean of its divisors is an integer number (97514592).

Almost surely, 2^30269030400 is an apocalyptic number.

30269030400 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 30269030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70210506240).

30269030400 is an abundant number, since it is smaller than the sum of its proper divisors (110151982080).

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

30269030400 is a wasteful number, since it uses less digits than its factorization.

30269030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 30269030400 in words is "thirty billion, two hundred sixty-nine million, thirty thousand, four hundred".