4646119973040 has 3600 divisors, whose sum is σ = 22210508436480. Its totient is φ = 898728929280.

The previous prime is 4646119973039. The next prime is 4646119973107. The reversal of 4646119973040 is 403799116464.

4646119973040 is a `hidden beast` number, since 46 + 461 + 19 + 97 + 3 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 149874837825 + ... + 149874837855.

Almost surely, 2^{4646119973040} is an apocalyptic number.

4646119973040 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 4646119973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105254218240).

4646119973040 is an abundant number, since it is smaller than the sum of its proper divisors (17564388463440).

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

4646119973040 is a wasteful number, since it uses less digits than its factorization.

4646119973040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 4646119973040 in words is "four trillion, six hundred forty-six billion, one hundred nineteen million, nine hundred seventy-three thousand, forty".