40724132400 has 480 divisors, whose sum is σ = 175404487680. Its totient is φ = 8760545280.

The previous prime is 40724132377. The next prime is 40724132453. The reversal of 40724132400 is 423142704.

40724132400 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 413 + 240 + 0 = 666.

40724132400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1269357 + ... + 1301043.

It is an arithmetic number, because the mean of its divisors is an integer number (365426016).

Almost surely, 2^40724132400 is an apocalyptic number.

40724132400 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 40724132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87702243840).

40724132400 is an abundant number, since it is smaller than the sum of its proper divisors (134680355280).

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

40724132400 is a wasteful number, since it uses less digits than its factorization.

40724132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31738 (or 31721 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 40724132400 in words is "forty billion, seven hundred twenty-four million, one hundred thirty-two thousand, four hundred".