1400434504000 has 336 divisors, whose sum is σ = 4046762111184. Its totient is φ = 478679040000.

The previous prime is 1400434503989. The next prime is 1400434504003. The reversal of 1400434504000 is 4054340041.

It can be written as a sum of positive squares in 8 ways, for example, as 355492597824 + 1044941906176 = 596232^2 + 1022224^2 .

It is a super-2 number, since 2×1400434504000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400434504003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132098700 + ... + 132109300.

Almost surely, 2^{1400434504000} is an apocalyptic number.

1400434504000 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 1400434504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023381055592).

1400434504000 is an abundant number, since it is smaller than the sum of its proper divisors (2646327607184).

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

1400434504000 is a wasteful number, since it uses less digits than its factorization.

1400434504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10979 (or 10952 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1400434504000 its reverse (4054340041), we get a palindrome (1404488844041).

The spelling of 1400434504000 in words is "one trillion, four hundred billion, four hundred thirty-four million, five hundred four thousand".