40449024000 has 1792 divisors, whose sum is σ = 196281446400. Its totient is φ = 7962624000.

The previous prime is 40449023983. The next prime is 40449024043. The reversal of 40449024000 is 42094404.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×40449024000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2128895991 + ... + 2128896009.

Almost surely, 2^40449024000 is an apocalyptic number.

40449024000 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 40449024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98140723200).

40449024000 is an abundant number, since it is smaller than the sum of its proper divisors (155832422400).

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

40449024000 is a wasteful number, since it uses less digits than its factorization.

40449024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 40449024000 in words is "forty billion, four hundred forty-nine million, twenty-four thousand".