49417290000 has 1125 divisors, whose sum is σ = 204255689913. Its totient is φ = 11524032000.

The previous prime is 49417289989. The next prime is 49417290017. The reversal of 49417290000 is 9271494.

The square root of 49417290000 is 222300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 48810948624 + 606341376 = 220932^2 + 24624^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

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

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2600909991 + ... + 2600910009.

Almost surely, 2^49417290000 is an apocalyptic number.

49417290000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49417290000 is the 222300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49417290000

49417290000 is an abundant number, since it is smaller than the sum of its proper divisors (154838399913).

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

49417290000 is a wasteful number, since it uses less digits than its factorization.

49417290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 49417290000 by its sum of digits (36), we get a square (1779022440000 = 1333800²).

49417290000 divided by its sum of digits (36) gives a square (1372702500 = 37050²).

The spelling of 49417290000 in words is "forty-nine billion, four hundred seventeen million, two hundred ninety thousand".