40133624283648 has 400 divisors, whose sum is σ = 141317105554944. Its totient is φ = 11096852152320.

The previous prime is 40133624283637. The next prime is 40133624283661. The reversal of 40133624283648 is 84638242633104.

40133624283648 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 3 + 624 + 2 + 8 + 3 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×40133624283648² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40133624283594 and 40133624283603.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6769636 + ... + 11229212.

Almost surely, 2^{40133624283648} is an apocalyptic number.

40133624283648 is a gapful number since it is divisible by the number (48) 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 40133624283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70658552777472).

40133624283648 is an abundant number, since it is smaller than the sum of its proper divisors (101183481271296).

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

40133624283648 is an equidigital number, since it uses as much as digits as its factorization.

40133624283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459645 (or 4459620 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 40133624283648 in words is "forty trillion, one hundred thirty-three billion, six hundred twenty-four million, two hundred eighty-three thousand, six hundred forty-eight".