48274237440 has 1440 divisors, whose sum is σ = 210355465320. Its totient is φ = 10510663680.

The previous prime is 48274237439. The next prime is 48274237471. The reversal of 48274237440 is 4473247284.

48274237440 is a `hidden beast` number, since 4 + 8 + 274 + 2 + 374 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39833773056 + 8440464384 = 199584^2 + 91872^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 1304709102 + ... + 1304709138.

Almost surely, 2^48274237440 is an apocalyptic number.

48274237440 is a gapful number since it is divisible by the number (40) 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 48274237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105177732660).

48274237440 is an abundant number, since it is smaller than the sum of its proper divisors (162081227880).

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

48274237440 is a wasteful number, since it uses less digits than its factorization.

48274237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 48274237440 in words is "forty-eight billion, two hundred seventy-four million, two hundred thirty-seven thousand, four hundred forty".