7402042872840 has 384 divisors, whose sum is σ = 28421649204480. Its totient is φ = 1509065226240.

The previous prime is 7402042872821. The next prime is 7402042872901. The reversal of 7402042872840 is 482782402047.

It is a super-2 number, since 2×7402042872840² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7402042872840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4699882 + ... + 6073958.

It is an arithmetic number, because the mean of its divisors is an integer number (74014711470).

Almost surely, 2^{7402042872840} is an apocalyptic number.

7402042872840 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 7402042872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210824602240).

7402042872840 is an abundant number, since it is smaller than the sum of its proper divisors (21019606331640).

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

7402042872840 is a wasteful number, since it uses less digits than its factorization.

7402042872840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374173 (or 1374158 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 48.

The spelling of 7402042872840 in words is "seven trillion, four hundred two billion, forty-two million, eight hundred seventy-two thousand, eight hundred forty".