7402745226240 has 1408 divisors, whose sum is σ = 32866113208320. Its totient is φ = 1538410807296.

The previous prime is 7402745226113. The next prime is 7402745226263. The reversal of 7402745226240 is 426225472047.

7402745226240 is a `hidden beast` number, since 7 + 4 + 0 + 27 + 4 + 522 + 62 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 842844889 + ... + 842853671.

Almost surely, 2^{7402745226240} is an apocalyptic number.

7402745226240 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 7402745226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16433056604160).

7402745226240 is an abundant number, since it is smaller than the sum of its proper divisors (25463367982080).

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

7402745226240 is a wasteful number, since it uses less digits than its factorization.

7402745226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 7402745226240 in words is "seven trillion, four hundred two billion, seven hundred forty-five million, two hundred twenty-six thousand, two hundred forty".