4178156640 has 384 divisors, whose sum is σ = 16050908160. Its totient is φ = 891813888.

The previous prime is 4178156627. The next prime is 4178156687. The reversal of 4178156640 is 466518714.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4178156592 and 4178156601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11023971 + ... + 11024349.

It is an arithmetic number, because the mean of its divisors is an integer number (41799240).

Almost surely, 2^4178156640 is an apocalyptic number.

4178156640 is a gapful number since it is divisible by the number (40) 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 4178156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025454080).

4178156640 is an abundant number, since it is smaller than the sum of its proper divisors (11872751520).

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

4178156640 is a wasteful number, since it uses less digits than its factorization.

4178156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 4178156640 is about 64638.6621148674. The cubic root of 4178156640 is about 1610.6267431164.

The spelling of 4178156640 in words is "four billion, one hundred seventy-eight million, one hundred fifty-six thousand, six hundred forty".