40506053400 has 192 divisors, whose sum is σ = 143292391200. Its totient is φ = 10509626880.

The previous prime is 40506053383. The next prime is 40506053407. The reversal of 40506053400 is 435060504.

40506053400 is a `hidden beast` number, since 4 + 0 + 50 + 605 + 3 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40506053407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98434 + ... + 301166.

Almost surely, 2^40506053400 is an apocalyptic number.

40506053400 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 40506053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71646195600).

40506053400 is an abundant number, since it is smaller than the sum of its proper divisors (102786337800).

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

40506053400 is a wasteful number, since it uses less digits than its factorization.

40506053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202795 (or 202780 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 40506053400 in words is "forty billion, five hundred six million, fifty-three thousand, four hundred".