48982064040 has 864 divisors, whose sum is σ = 207793502280. Its totient is φ = 10299405312.

The previous prime is 48982064029. The next prime is 48982064059. The reversal of 48982064040 is 4046028984.

It can be written as a sum of positive squares in 4 ways, for example, as 42129204516 + 6852859524 = 205254^2 + 82782^2 .

It is a super-2 number, since 2×48982064040² (a number of 22 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 167174134 + ... + 167174426.

Almost surely, 2^48982064040 is an apocalyptic number.

48982064040 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 48982064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103896751140).

48982064040 is an abundant number, since it is smaller than the sum of its proper divisors (158811438240).

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

48982064040 is a wasteful number, since it uses less digits than its factorization.

48982064040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48982064040 in words is "forty-eight billion, nine hundred eighty-two million, sixty-four thousand, forty".