40497408000 has 1344 divisors, whose sum is σ = 178746946560. Its totient is φ = 8957952000.

The previous prime is 40497407971. The next prime is 40497408071. The reversal of 40497408000 is 80479404.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1306367985 + ... + 1306368015.

It is an arithmetic number, because the mean of its divisors is an integer number (132996240).

Almost surely, 2^40497408000 is an apocalyptic number.

40497408000 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 40497408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89373473280).

40497408000 is an abundant number, since it is smaller than the sum of its proper divisors (138249538560).

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

40497408000 is an frugal number, since it uses more digits than its factorization.

40497408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 40497408000 in words is "forty billion, four hundred ninety-seven million, four hundred eight thousand".