1402540430144 has 224 divisors, whose sum is σ = 3444476037120. Its totient is φ = 553125169152.

The previous prime is 1402540430141. The next prime is 1402540430171. The reversal of 1402540430144 is 4410340452041.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1402540430144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402540430141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203765327 + ... + 203772209.

Almost surely, 2^{1402540430144} is an apocalyptic number.

1402540430144 is a gapful number since it is divisible by the number (14) 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 1402540430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722238018560).

1402540430144 is an abundant number, since it is smaller than the sum of its proper divisors (2041935606976).

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

1402540430144 is a wasteful number, since it uses less digits than its factorization.

1402540430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 1402540430144 its reverse (4410340452041), we get a palindrome (5812880882185).

The spelling of 1402540430144 in words is "one trillion, four hundred two billion, five hundred forty million, four hundred thirty thousand, one hundred forty-four".