1402242114240 has 1120 divisors, whose sum is σ = 5621802303744. Its totient is φ = 330145320960.

The previous prime is 1402242114239. The next prime is 1402242114253. The reversal of 1402242114240 is 424112422041.

1402242114240 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 24 + 211 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2563513647 + ... + 2563514193.

Almost surely, 2^{1402242114240} is an apocalyptic number.

1402242114240 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 1402242114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810901151872).

1402242114240 is an abundant number, since it is smaller than the sum of its proper divisors (4219560189504).

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

1402242114240 is an frugal number, since it uses more digits than its factorization.

1402242114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1402242114240 its reverse (424112422041), we get a palindrome (1826354536281).

The spelling of 1402242114240 in words is "one trillion, four hundred two billion, two hundred forty-two million, one hundred fourteen thousand, two hundred forty".