41342113693440 has 864 divisors, whose sum is σ = 169290764697600. Its totient is φ = 9114059243520.

The previous prime is 41342113693429. The next prime is 41342113693459. The reversal of 41342113693440 is 4439631124314.

41342113693440 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 2 + 113 + 6 + 93 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2317504041 + ... + 2317521879.

Almost surely, 2^{41342113693440} is an apocalyptic number.

41342113693440 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 41342113693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84645382348800).

41342113693440 is an abundant number, since it is smaller than the sum of its proper divisors (127948651004160).

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

41342113693440 is a wasteful number, since it uses less digits than its factorization.

41342113693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18893 (or 18876 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 41342113693440 in words is "forty-one trillion, three hundred forty-two billion, one hundred thirteen million, six hundred ninety-three thousand, four hundred forty".