1401122400 has 72 divisors (see below), whose sum is σ = 4560661224. Its totient is φ = 373632000.

The previous prime is 1401122357. The next prime is 1401122413. The reversal of 1401122400 is 42211041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1401122400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289501 + ... + 294300.

It is an arithmetic number, because the mean of its divisors is an integer number (63342517).

Almost surely, 2^1401122400 is an apocalyptic number.

1401122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401122400 is an abundant number, since it is smaller than the sum of its proper divisors (3159538824).

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

1401122400 is a wasteful number, since it uses less digits than its factorization.

1401122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583824 (or 583811 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1401122400 is about 37431.5695636718. The cubic root of 1401122400 is about 1118.9878185265.

Adding to 1401122400 its reverse (42211041), we get a palindrome (1443333441).

The spelling of 1401122400 in words is "one billion, four hundred one million, one hundred twenty-two thousand, four hundred".