1283956401924 has 675 divisors, whose sum is σ = 4336237623333. Its totient is φ = 330254039808.

The previous prime is 1283956401911. The next prime is 1283956401991. The reversal of 1283956401924 is 4291046593821.

It is a happy number.

The square root of 1283956401924 is 1133118.

It is a perfect power (a square), and thus also a powerful number.

1283956401924 is a `hidden beast` number, since 1 + 2 + 8 + 395 + 64 + 0 + 192 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 999620036100 + 284336365824 = 999810^2 + 533232^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 55824191377 + ... + 55824191399.

Almost surely, 2^{1283956401924} is an apocalyptic number.

1283956401924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1283956401924 is the 1133118-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283956401924

1283956401924 is an abundant number, since it is smaller than the sum of its proper divisors (3052281221409).

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

1283956401924 is an frugal number, since it uses more digits than its factorization.

1283956401924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1283956401924 in words is "one trillion, two hundred eighty-three billion, nine hundred fifty-six million, four hundred one thousand, nine hundred twenty-four".