1742027342400 has 1008 divisors, whose sum is σ = 6977780060160. Its totient is φ = 425838643200.

The previous prime is 1742027342389. The next prime is 1742027342417. The reversal of 1742027342400 is 42437202471.

1742027342400 is a `hidden beast` number, since 1 + 7 + 4 + 202 + 7 + 3 + 42 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228999397 + ... + 229007003.

Almost surely, 2^{1742027342400} is an apocalyptic number.

1742027342400 is a gapful number since it is divisible by the number (10) 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 1742027342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488890030080).

1742027342400 is an abundant number, since it is smaller than the sum of its proper divisors (5235752717760).

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

1742027342400 is a wasteful number, since it uses less digits than its factorization.

1742027342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 1742027342400 in words is "one trillion, seven hundred forty-two billion, twenty-seven million, three hundred forty-two thousand, four hundred".