40346364985344 has 1080 divisors, whose sum is σ = 133498459458000. Its totient is φ = 12091085291520.

The previous prime is 40346364985309. The next prime is 40346364985361. The reversal of 40346364985344 is 44358946364304.

40346364985344 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 6 + 3 + 6 + 4 + 98 + 534 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 176184999822 + ... + 176185000050.

Almost surely, 2^{40346364985344} is an apocalyptic number.

40346364985344 is a gapful number since it is divisible by the number (44) 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 40346364985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66749229729000).

40346364985344 is an abundant number, since it is smaller than the sum of its proper divisors (93152094472656).

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

40346364985344 is an frugal number, since it uses more digits than its factorization.

40346364985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 63.

The spelling of 40346364985344 in words is "forty trillion, three hundred forty-six billion, three hundred sixty-four million, nine hundred eighty-five thousand, three hundred forty-four".