1234400402400 has 144 divisors (see below), whose sum is σ = 4383243704448. Its totient is φ = 299248576000.

The previous prime is 1234400402387. The next prime is 1234400402407. The reversal of 1234400402400 is 42040044321.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234400402407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23352396 + ... + 23405195.

It is an arithmetic number, because the mean of its divisors is an integer number (30439192392).

Almost surely, 2^{1234400402400} is an apocalyptic number.

1234400402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234400402400 is an abundant number, since it is smaller than the sum of its proper divisors (3148843302048).

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

1234400402400 is a wasteful number, since it uses less digits than its factorization.

1234400402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46757625 (or 46757612 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1234400402400 its reverse (42040044321), we get a palindrome (1276440446721).

The spelling of 1234400402400 in words is "one trillion, two hundred thirty-four billion, four hundred million, four hundred two thousand, four hundred".