48629400840 has 128 divisors (see below), whose sum is σ = 163532908800. Its totient is φ = 12853048320.

The previous prime is 48629400817. The next prime is 48629400887. The reversal of 48629400840 is 4800492684.

48629400840 is a `hidden beast` number, since 486 + 2 + 94 + 0 + 0 + 84 + 0 = 666.

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

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, 77196 + ... + 321275.

It is an arithmetic number, because the mean of its divisors is an integer number (1277600850).

Almost surely, 2^48629400840 is an apocalyptic number.

48629400840 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 48629400840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81766454400).

48629400840 is an abundant number, since it is smaller than the sum of its proper divisors (114903507960).

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

48629400840 is a wasteful number, since it uses less digits than its factorization.

48629400840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398604 (or 398594 counting only the distinct ones).

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

The spelling of 48629400840 in words is "forty-eight billion, six hundred twenty-nine million, four hundred thousand, eight hundred forty".