734742444761400 has 384 divisors, whose sum is σ = 2324721771141120. Its totient is φ = 191933108590080.

The previous prime is 734742444761399. The next prime is 734742444761411. The reversal of 734742444761400 is 4167444247437.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4516324459 + ... + 4516487141.

It is an arithmetic number, because the mean of its divisors is an integer number (6053962945680).

Almost surely, 2^{734742444761400} 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 734742444761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162360885570560).

734742444761400 is an abundant number, since it is smaller than the sum of its proper divisors (1589979326379720).

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

734742444761400 is a wasteful number, since it uses less digits than its factorization.

734742444761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163595 (or 163586 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 57.

The spelling of 734742444761400 in words is "seven hundred thirty-four trillion, seven hundred forty-two billion, four hundred forty-four million, seven hundred sixty-one thousand, four hundred".