1453034499840 has 1728 divisors, whose sum is σ = 6598739976192. Its totient is φ = 286389043200.

The previous prime is 1453034499827. The next prime is 1453034499857. The reversal of 1453034499840 is 489944303541.

1453034499840 is a `hidden beast` number, since 1 + 45 + 3 + 0 + 34 + 499 + 84 + 0 = 666.

It is a super-2 number, since 2×1453034499840² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1457406222 + ... + 1457407218.

It is an arithmetic number, because the mean of its divisors is an integer number (3818715264).

Almost surely, 2^{1453034499840} is an apocalyptic number.

1453034499840 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 1453034499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299369988096).

1453034499840 is an abundant number, since it is smaller than the sum of its proper divisors (5145705476352).

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

1453034499840 is a wasteful number, since it uses less digits than its factorization.

1453034499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1453034499840 in words is "one trillion, four hundred fifty-three billion, thirty-four million, four hundred ninety-nine thousand, eight hundred forty".