40024678344000 has 896 divisors, whose sum is σ = 154690229551104. Its totient is φ = 8930073600000.

The previous prime is 40024678343999. The next prime is 40024678344011. The reversal of 40024678344000 is 44387642004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1204711389 + ... + 1204744611.

Almost surely, 2^{40024678344000} is an apocalyptic number.

40024678344000 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 40024678344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77345114775552).

40024678344000 is an abundant number, since it is smaller than the sum of its proper divisors (114665551207104).

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

40024678344000 is a wasteful number, since it uses less digits than its factorization.

40024678344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33432 (or 33412 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 40024678344000 in words is "forty trillion, twenty-four billion, six hundred seventy-eight million, three hundred forty-four thousand".