742006351440 has 140 divisors (see below), whose sum is σ = 2586564113364. Its totient is φ = 197868344832.

The previous prime is 742006351417. The next prime is 742006351481. The reversal of 742006351440 is 44153600247.

742006351440 is a `hidden beast` number, since 7 + 4 + 2 + 0 + 0 + 635 + 14 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 140364121104 + 601642230336 = 374652^2 + 775656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 742006351395 and 742006351404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6303189 + ... + 6419828.

Almost surely, 2^742006351440 is an apocalyptic number.

It is an amenable number.

742006351440 is an abundant number, since it is smaller than the sum of its proper divisors (1844557761924).

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

742006351440 is a wasteful number, since it uses less digits than its factorization.

742006351440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723048 (or 12723027 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 742006351440 its reverse (44153600247), we get a palindrome (786159951687).

The spelling of 742006351440 in words is "seven hundred forty-two billion, six million, three hundred fifty-one thousand, four hundred forty".