40753427400 has 1152 divisors, whose sum is σ = 174042432000. Its totient is φ = 8724602880.

The previous prime is 40753427369. The next prime is 40753427413. The reversal of 40753427400 is 472435704.

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 287 ways as a sum of consecutive naturals, for example, 360649744 + ... + 360649856.

It is an arithmetic number, because the mean of its divisors is an integer number (151078500).

Almost surely, 2^40753427400 is an apocalyptic number.

40753427400 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 40753427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87021216000).

40753427400 is an abundant number, since it is smaller than the sum of its proper divisors (133289004600).

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

40753427400 is a wasteful number, since it uses less digits than its factorization.

40753427400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

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

The spelling of 40753427400 in words is "forty billion, seven hundred fifty-three million, four hundred twenty-seven thousand, four hundred".