1402514004000 has 192 divisors, whose sum is σ = 4604012929152. Its totient is φ = 373240448000.

The previous prime is 1402514003921. The next prime is 1402514004029. The reversal of 1402514004000 is 4004152041.

It is a happy number.

It is a super-2 number, since 2×1402514004000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5772982 + ... + 6011018.

It is an arithmetic number, because the mean of its divisors is an integer number (23979234006).

Almost surely, 2^{1402514004000} is an apocalyptic number.

1402514004000 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 1402514004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302006464576).

1402514004000 is an abundant number, since it is smaller than the sum of its proper divisors (3201498925152).

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

1402514004000 is a wasteful number, since it uses less digits than its factorization.

1402514004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238556 (or 238538 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 1402514004000 its reverse (4004152041), we get a palindrome (1406518156041).

The spelling of 1402514004000 in words is "one trillion, four hundred two billion, five hundred fourteen million, four thousand".