4297975299072 has 2112 divisors, whose sum is σ = 17432721008640. Its totient is φ = 1016497963008.

The previous prime is 4297975299067. The next prime is 4297975299083. The reversal of 4297975299072 is 2709925797924.

4297975299072 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 9 + 7 + 529 + 90 + 7 + 2 = 666.

It is a super-2 number, since 2×4297975299072² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16723639168 + ... + 16723639424.

Almost surely, 2^{4297975299072} is an apocalyptic number.

4297975299072 is a gapful number since it is divisible by the number (42) 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 4297975299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8716360504320).

4297975299072 is an abundant number, since it is smaller than the sum of its proper divisors (13134745709568).

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

4297975299072 is a wasteful number, since it uses less digits than its factorization.

4297975299072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 4297975299072 in words is "four trillion, two hundred ninety-seven billion, nine hundred seventy-five million, two hundred ninety-nine thousand, seventy-two".