7403902638048 has 576 divisors, whose sum is σ = 25668987402240. Its totient is φ = 2054963146752.

The previous prime is 7403902638043. The next prime is 7403902638049. The reversal of 7403902638048 is 8408362093047.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7403902637985 and 7403902638003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7403902638043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1448051940 + ... + 1448057052.

It is an arithmetic number, because the mean of its divisors is an integer number (44564214240).

Almost surely, 2^{7403902638048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7403902638048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834493701120).

7403902638048 is an abundant number, since it is smaller than the sum of its proper divisors (18265084764192).

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

7403902638048 is a wasteful number, since it uses less digits than its factorization.

7403902638048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 7403902638048 in words is "seven trillion, four hundred three billion, nine hundred two million, six hundred thirty-eight thousand, forty-eight".