30487010400 has 864 divisors, whose sum is σ = 135399333888. Its totient is φ = 6270566400.

The previous prime is 30487010399. The next prime is 30487010429. The reversal of 30487010400 is 401078403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70408584 + ... + 70409016.

It is an arithmetic number, because the mean of its divisors is an integer number (156712192).

Almost surely, 2^30487010400 is an apocalyptic number.

30487010400 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 30487010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67699666944).

30487010400 is an abundant number, since it is smaller than the sum of its proper divisors (104912323488).

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

30487010400 is a wasteful number, since it uses less digits than its factorization.

30487010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 30487010400 its reverse (401078403), we get a palindrome (30888088803).

The spelling of 30487010400 in words is "thirty billion, four hundred eighty-seven million, ten thousand, four hundred".