1400424432400 has 480 divisors, whose sum is σ = 4086849282048. Its totient is φ = 450793728000.

The previous prime is 1400424432389. The next prime is 1400424432419. The reversal of 1400424432400 is 42344240041.

It is a super-2 number, since 2×1400424432400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1997752050 + ... + 1997752750.

Almost surely, 2^{1400424432400} is an apocalyptic number.

1400424432400 is a gapful number since it is divisible by the number (10) 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 1400424432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043424641024).

1400424432400 is an abundant number, since it is smaller than the sum of its proper divisors (2686424849648).

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

1400424432400 is a wasteful number, since it uses less digits than its factorization.

1400424432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 1400424432400 its reverse (42344240041), we get a palindrome (1442768672441).

The spelling of 1400424432400 in words is "one trillion, four hundred billion, four hundred twenty-four million, four hundred thirty-two thousand, four hundred".