40274056906400 has 288 divisors, whose sum is σ = 105065513501760. Its totient is φ = 15031615979520.

The previous prime is 40274056906393. The next prime is 40274056906409. The reversal of 40274056906400 is 460965047204.

It is not an unprimeable number, because it can be changed into a prime (40274056906409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281295632 + ... + 281438768.

It is an arithmetic number, because the mean of its divisors is an integer number (364810810770).

Almost surely, 2^{40274056906400} is an apocalyptic number.

40274056906400 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 40274056906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52532756750880).

40274056906400 is an abundant number, since it is smaller than the sum of its proper divisors (64791456595360).

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

40274056906400 is a wasteful number, since it uses less digits than its factorization.

40274056906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143456 (or 143443 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 40274056906400 in words is "forty trillion, two hundred seventy-four billion, fifty-six million, nine hundred six thousand, four hundred".