1954416675840 has 352 divisors, whose sum is σ = 6699204126720. Its totient is φ = 485041176576.

The previous prime is 1954416675839. The next prime is 1954416675853. The reversal of 1954416675840 is 485766144591.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12996601 + ... + 13146119.

Almost surely, 2^{1954416675840} is an apocalyptic number.

1954416675840 is a gapful number since it is divisible by the number (10) 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 1954416675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349602063360).

1954416675840 is an abundant number, since it is smaller than the sum of its proper divisors (4744787450880).

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

1954416675840 is a wasteful number, since it uses less digits than its factorization.

1954416675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149607 (or 149589 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 1954416675840 in words is "one trillion, nine hundred fifty-four billion, four hundred sixteen million, six hundred seventy-five thousand, eight hundred forty".