40128379200 has 1008 divisors, whose sum is σ = 177746290176. Its totient is φ = 8360755200.

The previous prime is 40128379163. The next prime is 40128379217. The reversal of 40128379200 is 297382104.

40128379200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×40128379200² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148075065 + ... + 148075335.

Almost surely, 2^40128379200 is an apocalyptic number.

40128379200 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 40128379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88873145088).

40128379200 is an abundant number, since it is smaller than the sum of its proper divisors (137617910976).

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

40128379200 is a wasteful number, since it uses less digits than its factorization.

40128379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 40128379200 in words is "forty billion, one hundred twenty-eight million, three hundred seventy-nine thousand, two hundred".