30947507015040 has 3840 divisors, whose sum is σ = 148189070937600. Its totient is φ = 5977701089280.

The previous prime is 30947507015039. The next prime is 30947507015101. The reversal of 30947507015040 is 4051070574903.

30947507015040 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 75 + 0 + 70 + 1 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 160349777184 + ... + 160349777376.

It is an arithmetic number, because the mean of its divisors is an integer number (38590903890).

Almost surely, 2^{30947507015040} is an apocalyptic number.

30947507015040 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 30947507015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74094535468800).

30947507015040 is an abundant number, since it is smaller than the sum of its proper divisors (117241563922560).

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

30947507015040 is a wasteful number, since it uses less digits than its factorization.

30947507015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

Adding to 30947507015040 its reverse (4051070574903), we get a palindrome (34998577589943).

The spelling of 30947507015040 in words is "thirty trillion, nine hundred forty-seven billion, five hundred seven million, fifteen thousand, forty".