1424972545920 has 2048 divisors, whose sum is σ = 6565183488000. Its totient is φ = 283469414400.

The previous prime is 1424972545901. The next prime is 1424972545937. The reversal of 1424972545920 is 295452794241.

1424972545920 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 9 + 7 + 2 + 545 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7383277344 + ... + 7383277536.

It is an arithmetic number, because the mean of its divisors is an integer number (3205656000).

Almost surely, 2^{1424972545920} is an apocalyptic number.

1424972545920 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 1424972545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282591744000).

1424972545920 is an abundant number, since it is smaller than the sum of its proper divisors (5140210942080).

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

1424972545920 is a wasteful number, since it uses less digits than its factorization.

1424972545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1424972545920 in words is "one trillion, four hundred twenty-four billion, nine hundred seventy-two million, five hundred forty-five thousand, nine hundred twenty".