42403880816640 has 1040 divisors, whose sum is σ = 176105803830528. Its totient is φ = 9559353065472.

The previous prime is 42403880816639. The next prime is 42403880816641. The reversal of 42403880816640 is 4661808830424.

It is a happy number.

42403880816640 is a `hidden beast` number, since 4 + 240 + 388 + 0 + 8 + 16 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42403880816639) and next prime (42403880816641).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42403880816641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 847662669 + ... + 847712691.

Almost surely, 2^{42403880816640} is an apocalyptic number.

42403880816640 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 42403880816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88052901915264).

42403880816640 is an abundant number, since it is smaller than the sum of its proper divisors (133701923013888).

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

42403880816640 is an equidigital number, since it uses as much as digits as its factorization.

42403880816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50144 (or 50113 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 42403880816640 in words is "forty-two trillion, four hundred three billion, eight hundred eighty million, eight hundred sixteen thousand, six hundred forty".