40153511000 has 64 divisors (see below), whose sum is σ = 94405016160. Its totient is φ = 15985200000.

The previous prime is 40153510967. The next prime is 40153511009. The reversal of 40153511000 is 11535104.

40153511000 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 2×40153511000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40153511009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115850 + ... + 306150.

Almost surely, 2^40153511000 is an apocalyptic number.

40153511000 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 40153511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47202508080).

40153511000 is an abundant number, since it is smaller than the sum of its proper divisors (54251505160).

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

40153511000 is a wasteful number, since it uses less digits than its factorization.

40153511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190533 (or 190519 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 40153511000 in words is "forty billion, one hundred fifty-three million, five hundred eleven thousand".