40343084194560 has 1728 divisors, whose sum is σ = 162419712903168. Its totient is φ = 8351454855168.

The previous prime is 40343084194559. The next prime is 40343084194639. The reversal of 40343084194560 is 6549148034304.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27880499757 + ... + 27880501203.

Almost surely, 2^{40343084194560} is an apocalyptic number.

40343084194560 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 40343084194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81209856451584).

40343084194560 is an abundant number, since it is smaller than the sum of its proper divisors (122076628708608).

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

40343084194560 is a wasteful number, since it uses less digits than its factorization.

40343084194560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 40343084194560 in words is "forty trillion, three hundred forty-three billion, eighty-four million, one hundred ninety-four thousand, five hundred sixty".