40248746756100 has 189 divisors, whose sum is σ = 130955340142767. Its totient is φ = 10732542353280.

The previous prime is 40248746756089. The next prime is 40248746756123. The reversal of 40248746756100 is 165764784204.

The square root of 40248746756100 is 6344190.

It is a perfect power (a square), and thus also a powerful number.

40248746756100 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 8 + 74 + 6 + 7 + 561 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1143535087044 + 39105211669056 = 1069362^2 + 6253416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1712919552 + ... + 1712943048.

Almost surely, 2^{40248746756100} is an apocalyptic number.

40248746756100 is the 6344190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40248746756100

40248746756100 is an abundant number, since it is smaller than the sum of its proper divisors (90706593386667).

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

40248746756100 is an frugal number, since it uses more digits than its factorization.

40248746756100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47026 (or 23507 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 40248746756100 in words is "forty trillion, two hundred forty-eight billion, seven hundred forty-six million, seven hundred fifty-six thousand, one hundred".