42400993680 has 240 divisors, whose sum is σ = 144209520000. Its totient is φ = 11163930624.

The previous prime is 42400993669. The next prime is 42400993753. The reversal of 42400993680 is 8639900424.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19914856 + ... + 19916984.

It is an arithmetic number, because the mean of its divisors is an integer number (600873000).

Almost surely, 2^42400993680 is an apocalyptic number.

42400993680 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 42400993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72104760000).

42400993680 is an abundant number, since it is smaller than the sum of its proper divisors (101808526320).

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

42400993680 is a wasteful number, since it uses less digits than its factorization.

42400993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

It can be divided in two parts, 42400 and 993680, that added together give a triangular number (1036080 = T₁₄₃₉).

The spelling of 42400993680 in words is "forty-two billion, four hundred million, nine hundred ninety-three thousand, six hundred eighty".