4257777027672 has 240 divisors, whose sum is σ = 14243931014040. Its totient is φ = 1144947654144.

The previous prime is 4257777027671. The next prime is 4257777027727. The reversal of 4257777027672 is 2767207777524.

It is a happy number.

4257777027672 is a `hidden beast` number, since 425 + 7 + 7 + 7 + 70 + 2 + 76 + 72 = 666.

It is a super-2 number, since 2×4257777027672² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257777027671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2214423 + ... + 3663225.

Almost surely, 2^{4257777027672} is an apocalyptic number.

4257777027672 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 4257777027672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121965507020).

4257777027672 is an abundant number, since it is smaller than the sum of its proper divisors (9986153986368).

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

4257777027672 is a wasteful number, since it uses less digits than its factorization.

4257777027672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448860 (or 1448832 counting only the distinct ones).

The product of its (nonzero) digits is 112943040, while the sum is 63.

The spelling of 4257777027672 in words is "four trillion, two hundred fifty-seven billion, seven hundred seventy-seven million, twenty-seven thousand, six hundred seventy-two".