40135095000 has 1680 divisors, whose sum is σ = 190735757520. Its totient is φ = 7698240000.

The previous prime is 40135094971. The next prime is 40135095017. The reversal of 40135095000 is 59053104.

40135095000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40135095000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 3087314994 + ... + 3087315006.

It is an arithmetic number, because the mean of its divisors is an integer number (113533189).

Almost surely, 2^40135095000 is an apocalyptic number.

40135095000 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 40135095000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95367878760).

40135095000 is an abundant number, since it is smaller than the sum of its proper divisors (150600662520).

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

40135095000 is a wasteful number, since it uses less digits than its factorization.

40135095000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 40135095000 in words is "forty billion, one hundred thirty-five million, ninety-five thousand".