42409159087680 has 1680 divisors, whose sum is σ = 190009675067520. Its totient is φ = 8788885585920.

The previous prime is 42409159087663. The next prime is 42409159087697. The reversal of 42409159087680 is 8678095190424.

42409159087680 is a `hidden beast` number, since 4 + 2 + 409 + 1 + 5 + 90 + 87 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42409159087663) and next prime (42409159087697).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×42409159087680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8979281799 + ... + 8979286521.

It is an arithmetic number, because the mean of its divisors is an integer number (113100997064).

Almost surely, 2^{42409159087680} is an apocalyptic number.

42409159087680 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 42409159087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95004837533760).

42409159087680 is an abundant number, since it is smaller than the sum of its proper divisors (147600515979840).

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

42409159087680 is a wasteful number, since it uses less digits than its factorization.

42409159087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 42409159087680 in words is "forty-two trillion, four hundred nine billion, one hundred fifty-nine million, eighty-seven thousand, six hundred eighty".