42400357440 has 448 divisors, whose sum is σ = 163942410240. Its totient is φ = 9068544000.

The previous prime is 42400357429. The next prime is 42400357451. The reversal of 42400357440 is 4475300424.

It is an interprime number because it is at equal distance from previous prime (42400357429) and next prime (42400357451).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×42400357440² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10595440 + ... + 10599440.

It is an arithmetic number, because the mean of its divisors is an integer number (365942880).

Almost surely, 2^42400357440 is an apocalyptic number.

42400357440 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 42400357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81971205120).

42400357440 is an abundant number, since it is smaller than the sum of its proper divisors (121542052800).

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

42400357440 is a wasteful number, since it uses less digits than its factorization.

42400357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

Adding to 42400357440 its reverse (4475300424), we get a palindrome (46875657864).

The spelling of 42400357440 in words is "forty-two billion, four hundred million, three hundred fifty-seven thousand, four hundred forty".