30474541440 has 256 divisors, whose sum is σ = 123349824000. Its totient is φ = 6965581824.

The previous prime is 30474541439. The next prime is 30474541457. The reversal of 30474541440 is 4414547403.

30474541440 is a `hidden beast` number, since 3 + 0 + 4 + 74 + 541 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30474541395 and 30474541404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5010 + ... + 246929.

It is an arithmetic number, because the mean of its divisors is an integer number (481835250).

Almost surely, 2^30474541440 is an apocalyptic number.

30474541440 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 30474541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61674912000).

30474541440 is an abundant number, since it is smaller than the sum of its proper divisors (92875282560).

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

30474541440 is a wasteful number, since it uses less digits than its factorization.

30474541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251974 (or 251956 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 30474541440 in words is "thirty billion, four hundred seventy-four million, five hundred forty-one thousand, four hundred forty".