95214884040 has 192 divisors, whose sum is σ = 314472412800. Its totient is φ = 24980161536.

The previous prime is 95214884029. The next prime is 95214884069. The reversal of 95214884040 is 4048841259.

95214884040 is a `hidden beast` number, since 9 + 521 + 4 + 8 + 84 + 0 + 40 = 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 47 ways as a sum of consecutive naturals, for example, 11006997 + ... + 11015643.

It is an arithmetic number, because the mean of its divisors is an integer number (1637877150).

Almost surely, 2^95214884040 is an apocalyptic number.

95214884040 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 95214884040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157236206400).

95214884040 is an abundant number, since it is smaller than the sum of its proper divisors (219257528760).

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

95214884040 is a wasteful number, since it uses less digits than its factorization.

95214884040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9156 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 95214884040 in words is "ninety-five billion, two hundred fourteen million, eight hundred eighty-four thousand, forty".