40075354000 has 160 divisors (see below), whose sum is σ = 105920934912. Its totient is φ = 14544000000.

The previous prime is 40075353977. The next prime is 40075354003. The reversal of 40075354000 is 45357004.

40075354000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40075354000.

It is not an unprimeable number, because it can be changed into a prime (40075354003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13352500 + ... + 13355500.

Almost surely, 2^40075354000 is an apocalyptic number.

40075354000 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 40075354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52960467456).

40075354000 is an abundant number, since it is smaller than the sum of its proper divisors (65845580912).

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

40075354000 is a wasteful number, since it uses less digits than its factorization.

40075354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The spelling of 40075354000 in words is "forty billion, seventy-five million, three hundred fifty-four thousand".