860419778400 has 1440 divisors, whose sum is σ = 3912889559040. Its totient is φ = 179144110080.

The previous prime is 860419778377. The next prime is 860419778401. The reversal of 860419778400 is 4877914068.

It is a happy number.

860419778400 is a `hidden beast` number, since 86 + 0 + 4 + 1 + 97 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860419778401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 465846277 + ... + 465848123.

It is an arithmetic number, because the mean of its divisors is an integer number (2717284416).

Almost surely, 2^860419778400 is an apocalyptic number.

860419778400 is a gapful number since it is divisible by the number (80) 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 860419778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956444779520).

860419778400 is an abundant number, since it is smaller than the sum of its proper divisors (3052469780640).

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

860419778400 is a wasteful number, since it uses less digits than its factorization.

860419778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 860419778400 in words is "eight hundred sixty billion, four hundred nineteen million, seven hundred seventy-eight thousand, four hundred".