40344641154048 has 1056 divisors, whose sum is σ = 139517915477760. Its totient is φ = 10245826805760.

The previous prime is 40344641154043. The next prime is 40344641154049. The reversal of 40344641154048 is 84045114644304.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 40344641153988 and 40344641154006.

It is not an unprimeable number, because it can be changed into a prime (40344641154043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33260214690 + ... + 33260215902.

Almost surely, 2^{40344641154048} is an apocalyptic number.

40344641154048 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 40344641154048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69758957738880).

40344641154048 is an abundant number, since it is smaller than the sum of its proper divisors (99173274323712).

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

40344641154048 is a wasteful number, since it uses less digits than its factorization.

40344641154048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 40344641154048 in words is "forty trillion, three hundred forty-four billion, six hundred forty-one million, one hundred fifty-four thousand, forty-eight".