40642597795800 has 1536 divisors, whose sum is σ = 176590297497600. Its totient is φ = 7459043328000.

The previous prime is 40642597795799. The next prime is 40642597795871. The reversal of 40642597795800 is 859779524604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1657043137 + ... + 1657067663.

It is an arithmetic number, because the mean of its divisors is an integer number (114967641600).

Almost surely, 2^{40642597795800} is an apocalyptic number.

40642597795800 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 40642597795800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88295148748800).

40642597795800 is an abundant number, since it is smaller than the sum of its proper divisors (135947699701800).

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

40642597795800 is a wasteful number, since it uses less digits than its factorization.

40642597795800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24697 (or 24688 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 66.

The spelling of 40642597795800 in words is "forty trillion, six hundred forty-two billion, five hundred ninety-seven million, seven hundred ninety-five thousand, eight hundred".