42035563660400 has 120 divisors (see below), whose sum is σ = 102418383937824. Its totient is φ = 16576508390400.

The previous prime is 42035563660393. The next prime is 42035563660411. The reversal of 42035563660400 is 406636553024.

It is a super-2 number, since 2×42035563660400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821671622 + ... + 821722778.

Almost surely, 2^{42035563660400} is an apocalyptic number.

42035563660400 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 42035563660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51209191968912).

42035563660400 is an abundant number, since it is smaller than the sum of its proper divisors (60382820277424).

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

42035563660400 is a wasteful number, since it uses less digits than its factorization.

42035563660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80179 (or 80168 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 42035563660400 in words is "forty-two trillion, thirty-five billion, five hundred sixty-three million, six hundred sixty thousand, four hundred".