30052440293400 has 1152 divisors, whose sum is σ = 124566477235200. Its totient is φ = 6588013824000.

The previous prime is 30052440293383. The next prime is 30052440293411. The reversal of 30052440293400 is 439204425003.

30052440293400 is a `hidden beast` number, since 3 + 0 + 0 + 5 + 244 + 0 + 2 + 9 + 3 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1489725714 + ... + 1489745886.

It is an arithmetic number, because the mean of its divisors is an integer number (108130622600).

Almost surely, 2^{30052440293400} is an apocalyptic number.

30052440293400 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 30052440293400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62283238617600).

30052440293400 is an abundant number, since it is smaller than the sum of its proper divisors (94514036941800).

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

30052440293400 is a wasteful number, since it uses less digits than its factorization.

30052440293400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20391 (or 20370 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 30052440293400 in words is "thirty trillion, fifty-two billion, four hundred forty million, two hundred ninety-three thousand, four hundred".