402414001440 has 96 divisors (see below), whose sum is σ = 1382840859456. Its totient is φ = 97554908160.

The previous prime is 402414001417. The next prime is 402414001447. The reversal of 402414001440 is 44100414204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 402414001440.

It is not an unprimeable number, because it can be changed into a prime (402414001447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38102107 + ... + 38112666.

It is an arithmetic number, because the mean of its divisors is an integer number (14404592286).

Almost surely, 2^402414001440 is an apocalyptic number.

402414001440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402414001440 is an abundant number, since it is smaller than the sum of its proper divisors (980426858016).

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

402414001440 is a wasteful number, since it uses less digits than its factorization.

402414001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76214802 (or 76214794 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 402414001440 its reverse (44100414204), we get a palindrome (446514415644).

The spelling of 402414001440 in words is "four hundred two billion, four hundred fourteen million, one thousand, four hundred forty".