40342359495680 has 352 divisors, whose sum is σ = 111864880465920. Its totient is φ = 13805752320000.

The previous prime is 40342359495679. The next prime is 40342359495689. The reversal of 40342359495680 is 8659495324304.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×40342359495680³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40342359495689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161457245 + ... + 161706915.

Almost surely, 2^{40342359495680} is an apocalyptic number.

40342359495680 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 40342359495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55932440232960).

40342359495680 is an abundant number, since it is smaller than the sum of its proper divisors (71522520970240).

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

40342359495680 is a wasteful number, since it uses less digits than its factorization.

40342359495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249877 (or 249859 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 62.

The spelling of 40342359495680 in words is "forty trillion, three hundred forty-two billion, three hundred fifty-nine million, four hundred ninety-five thousand, six hundred eighty".