1434572324640 has 1920 divisors, whose sum is σ = 6656584112640. Its totient is φ = 282497974272.

The previous prime is 1434572324561. The next prime is 1434572324699. The reversal of 1434572324640 is 464232754341.

1434572324640 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 572 + 32 + 4 + 6 + 40 = 666.

It is a super-2 number, since 2×1434572324640² (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 319 ways as a sum of consecutive naturals, for example, 1635771882 + ... + 1635772758.

It is an arithmetic number, because the mean of its divisors is an integer number (3466970892).

Almost surely, 2^{1434572324640} is an apocalyptic number.

1434572324640 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 1434572324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328292056320).

1434572324640 is an abundant number, since it is smaller than the sum of its proper divisors (5222011788000).

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

1434572324640 is a wasteful number, since it uses less digits than its factorization.

1434572324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 1434572324640 in words is "one trillion, four hundred thirty-four billion, five hundred seventy-two million, three hundred twenty-four thousand, six hundred forty".