40505751544320 has 400 divisors, whose sum is σ = 145133955350208. Its totient is φ = 10797427630080.

The previous prime is 40505751544309. The next prime is 40505751544327. The reversal of 40505751544320 is 2344515750504.

40505751544320 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 5 + 75 + 1 + 544 + 32 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40505751544327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 566264397 + ... + 566335923.

Almost surely, 2^{40505751544320} is an apocalyptic number.

40505751544320 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 40505751544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72566977675104).

40505751544320 is an abundant number, since it is smaller than the sum of its proper divisors (104628203805888).

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

40505751544320 is an equidigital number, since it uses as much as digits as its factorization.

40505751544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74293 (or 74268 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 40505751544320 in words is "forty trillion, five hundred five billion, seven hundred fifty-one million, five hundred forty-four thousand, three hundred twenty".