40375153000 has 256 divisors, whose sum is σ = 123125184000. Its totient is φ = 12025958400.

The previous prime is 40375152971. The next prime is 40375153003. The reversal of 40375153000 is 35157304.

40375153000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 40375153000.

It is not an unprimeable number, because it can be changed into a prime (40375153003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1533951 + ... + 1560049.

It is an arithmetic number, because the mean of its divisors is an integer number (480957750).

Almost surely, 2^40375153000 is an apocalyptic number.

40375153000 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 40375153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61562592000).

40375153000 is an abundant number, since it is smaller than the sum of its proper divisors (82750031000).

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

40375153000 is a wasteful number, since it uses less digits than its factorization.

40375153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26157 (or 26143 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The spelling of 40375153000 in words is "forty billion, three hundred seventy-five million, one hundred fifty-three thousand".