40144040960000 has 560 divisors, whose sum is σ = 104234701812120. Its totient is φ = 15441592320000.

The previous prime is 40144040959993. The next prime is 40144040960047. The reversal of 40144040960000 is 6904044104.

It can be written as a sum of positive squares in 20 ways, for example, as 28170447917056 + 11973593042944 = 5307584^2 + 3460288^2 .

It is a super-2 number, since 2×40144040960000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16860158810 + ... + 16860161190.

Almost surely, 2^{40144040960000} is an apocalyptic number.

40144040960000 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 40144040960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52117350906060).

40144040960000 is an abundant number, since it is smaller than the sum of its proper divisors (64090660852120).

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

40144040960000 is an frugal number, since it uses more digits than its factorization.

40144040960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 40144040960000 in words is "forty trillion, one hundred forty-four billion, forty million, nine hundred sixty thousand".