40130924400 has 360 divisors, whose sum is σ = 166082941440. Its totient is φ = 8773839360.

The previous prime is 40130924399. The next prime is 40130924401. The reversal of 40130924400 is 442903104.

40130924400 is a `hidden beast` number, since 4 + 0 + 130 + 92 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40130924399) and next prime (40130924401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×40130924400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130924401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 544981 + ... + 614219.

It is an arithmetic number, because the mean of its divisors is an integer number (461341504).

Almost surely, 2^40130924400 is an apocalyptic number.

40130924400 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 40130924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83041470720).

40130924400 is an abundant number, since it is smaller than the sum of its proper divisors (125952017040).

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

40130924400 is a wasteful number, since it uses less digits than its factorization.

40130924400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69293 (or 69279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 40130924400 in words is "forty billion, one hundred thirty million, nine hundred twenty-four thousand, four hundred".