7402140900 has 324 divisors, whose sum is σ = 29445146640. Its totient is φ = 1538006400.

The previous prime is 7402140881. The next prime is 7402140917. The reversal of 7402140900 is 90412047.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 477471 + ... + 492729.

Almost surely, 2^7402140900 is an apocalyptic number.

7402140900 is a gapful number since it is divisible by the number (70) 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 7402140900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722573320).

7402140900 is an abundant number, since it is smaller than the sum of its proper divisors (22043005740).

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

7402140900 is a wasteful number, since it uses less digits than its factorization.

7402140900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15304 (or 15287 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7402140900 is about 86035.6954990195. The cubic root of 7402140900 is about 1948.8830684468.

Adding to 7402140900 its reverse (90412047), we get a palindrome (7492552947).

It can be divided in two parts, 74021 and 40900, that added together give a square (114921 = 339²).

The spelling of 7402140900 in words is "seven billion, four hundred two million, one hundred forty thousand, nine hundred".