40138853400 has 240 divisors, whose sum is σ = 139823026200. Its totient is φ = 10671851520.

The previous prime is 40138853387. The next prime is 40138853407. The reversal of 40138853400 is 435883104.

40138853400 is a `hidden beast` number, since 40 + 1 + 3 + 88 + 534 + 0 + 0 = 666.

It is a super-2 number, since 2×40138853400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40138853407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5715091 + ... + 5722109.

Almost surely, 2^40138853400 is an apocalyptic number.

40138853400 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 40138853400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69911513100).

40138853400 is an abundant number, since it is smaller than the sum of its proper divisors (99684172800).

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

40138853400 is a wasteful number, since it uses less digits than its factorization.

40138853400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7400 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40138853400 in words is "forty billion, one hundred thirty-eight million, eight hundred fifty-three thousand, four hundred".