5415927978240 has 1152 divisors, whose sum is σ = 23068937203200. Its totient is φ = 1188660510720.

The previous prime is 5415927978157. The next prime is 5415927978287. The reversal of 5415927978240 is 428797295145.

5415927978240 is a `hidden beast` number, since 5 + 4 + 1 + 59 + 279 + 78 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145098780 + ... + 145136100.

It is an arithmetic number, because the mean of its divisors is an integer number (20025119100).

Almost surely, 2^{5415927978240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5415927978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534468601600).

5415927978240 is an abundant number, since it is smaller than the sum of its proper divisors (17653009224960).

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

5415927978240 is a wasteful number, since it uses less digits than its factorization.

5415927978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37400 (or 37380 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 5415927978240 in words is "five trillion, four hundred fifteen billion, nine hundred twenty-seven million, nine hundred seventy-eight thousand, two hundred forty".