40346023361280 has 576 divisors, whose sum is σ = 167919808831488. Its totient is φ = 8011827118080.

The previous prime is 40346023361213. The next prime is 40346023361321. The reversal of 40346023361280 is 8216332064304.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2544625 + ... + 9336335.

It is an arithmetic number, because the mean of its divisors is an integer number (291527445888).

Almost surely, 2^{40346023361280} is an apocalyptic number.

40346023361280 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 40346023361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83959904415744).

40346023361280 is an abundant number, since it is smaller than the sum of its proper divisors (127573785470208).

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

40346023361280 is a wasteful number, since it uses less digits than its factorization.

40346023361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791772 (or 6791758 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 40346023361280 in words is "forty trillion, three hundred forty-six billion, twenty-three million, three hundred sixty-one thousand, two hundred eighty".