454019777640 has 960 divisors, whose sum is σ = 1845620821440. Its totient is φ = 99179458560.

The previous prime is 454019777581. The next prime is 454019777719. The reversal of 454019777640 is 46777910454.

It is a happy number.

454019777640 is a `hidden beast` number, since 4 + 540 + 1 + 97 + 7 + 7 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×454019777640² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 258995004 + ... + 258996756.

It is an arithmetic number, because the mean of its divisors is an integer number (1922521689).

Almost surely, 2^454019777640 is an apocalyptic number.

454019777640 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 454019777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922810410720).

454019777640 is an abundant number, since it is smaller than the sum of its proper divisors (1391601043800).

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

454019777640 is a wasteful number, since it uses less digits than its factorization.

454019777640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 454019777640 in words is "four hundred fifty-four billion, nineteen million, seven hundred seventy-seven thousand, six hundred forty".