40723754400 has 360 divisors, whose sum is σ = 169729449120. Its totient is φ = 9308183040.

The previous prime is 40723754381. The next prime is 40723754411. The reversal of 40723754400 is 445732704.

40723754400 is a `hidden beast` number, since 40 + 72 + 3 + 7 + 544 + 0 + 0 = 666.

40723754400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×40723754400³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 408711 + ... + 498489.

It is an arithmetic number, because the mean of its divisors is an integer number (471470692).

Almost surely, 2^40723754400 is an apocalyptic number.

40723754400 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 40723754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84864724560).

40723754400 is an abundant number, since it is smaller than the sum of its proper divisors (129005694720).

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

40723754400 is a wasteful number, since it uses less digits than its factorization.

40723754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89818 (or 89796 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 40723754400 in words is "forty billion, seven hundred twenty-three million, seven hundred fifty-four thousand, four hundred".