1474009961424 has 640 divisors, whose sum is σ = 5180428431360. Its totient is φ = 348751872000.

The previous prime is 1474009961401. The next prime is 1474009961429. The reversal of 1474009961424 is 4241699004741.

It is a super-3 number, since 3×1474009961424³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1474009961429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2102724274 + ... + 2102724974.

It is an arithmetic number, because the mean of its divisors is an integer number (8094419424).

Almost surely, 2^{1474009961424} is an apocalyptic number.

1474009961424 is a gapful number since it is divisible by the number (14) 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 1474009961424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590214215680).

1474009961424 is an abundant number, since it is smaller than the sum of its proper divisors (3706418469936).

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

1474009961424 is a wasteful number, since it uses less digits than its factorization.

1474009961424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 1474009961424 in words is "one trillion, four hundred seventy-four billion, nine million, nine hundred sixty-one thousand, four hundred twenty-four".