1492346903040 has 960 divisors, whose sum is σ = 6148248986880. Its totient is φ = 339844792320.

The previous prime is 1492346903039. The next prime is 1492346903051. The reversal of 1492346903040 is 403096432941.

1492346903040 is a `hidden beast` number, since 1 + 492 + 3 + 4 + 6 + 90 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1492346903040² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1693923400 + ... + 1693924280.

It is an arithmetic number, because the mean of its divisors is an integer number (6404426028).

Almost surely, 2^{1492346903040} is an apocalyptic number.

1492346903040 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 1492346903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074124493440).

1492346903040 is an abundant number, since it is smaller than the sum of its proper divisors (4655902083840).

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

1492346903040 is an frugal number, since it uses more digits than its factorization.

1492346903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1492346903040 in words is "one trillion, four hundred ninety-two billion, three hundred forty-six million, nine hundred three thousand, forty".