40642024089600 has 864 divisors, whose sum is σ = 151459090997760. Its totient is φ = 10406848757760.

The previous prime is 40642024089599. The next prime is 40642024089629. The reversal of 40642024089600 is 698042024604.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1147835097 + ... + 1147870503.

It is an arithmetic number, because the mean of its divisors is an integer number (175299873840).

Almost surely, 2^{40642024089600} is an apocalyptic number.

40642024089600 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 40642024089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75729545498880).

40642024089600 is an abundant number, since it is smaller than the sum of its proper divisors (110817066908160).

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

40642024089600 is a wasteful number, since it uses less digits than its factorization.

40642024089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35545 (or 35517 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 40642024089600 in words is "forty trillion, six hundred forty-two billion, twenty-four million, eighty-nine thousand, six hundred".