40052513400 has 384 divisors, whose sum is σ = 137141579520. Its totient is φ = 9627770880.

The previous prime is 40052513363. The next prime is 40052513407. The reversal of 40052513400 is 431525004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40052513407) 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 95 ways as a sum of consecutive naturals, for example, 23244939 + ... + 23246661.

It is an arithmetic number, because the mean of its divisors is an integer number (357139530).

Almost surely, 2^40052513400 is an apocalyptic number.

40052513400 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 40052513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68570789760).

40052513400 is an abundant number, since it is smaller than the sum of its proper divisors (97089066120).

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

40052513400 is a wasteful number, since it uses less digits than its factorization.

40052513400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 40052513400 in words is "forty billion, fifty-two million, five hundred thirteen thousand, four hundred".