95042138400 has 288 divisors, whose sum is σ = 374985374400. Its totient is φ = 23040460800.

The previous prime is 95042138383. The next prime is 95042138431. The reversal of 95042138400 is 483124059.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 37596 + ... + 437604.

It is an arithmetic number, because the mean of its divisors is an integer number (1302032550).

Almost surely, 2^95042138400 is an apocalyptic number.

95042138400 is a gapful number since it is divisible by the number (90) 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 95042138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187492687200).

95042138400 is an abundant number, since it is smaller than the sum of its proper divisors (279943236000).

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

95042138400 is a wasteful number, since it uses less digits than its factorization.

95042138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400049 (or 400030 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 9504 and 2138400, that multiplied together give a square (20323353600 = 142560²).

The spelling of 95042138400 in words is "ninety-five billion, forty-two million, one hundred thirty-eight thousand, four hundred".