42956401950 has 960 divisors, whose sum is σ = 159606070272. Its totient is φ = 8302694400.

The previous prime is 42956401937. The next prime is 42956401963. The reversal of 42956401950 is 5910465924.

42956401950 is a `hidden beast` number, since 4 + 29 + 564 + 0 + 19 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (42956401937) and next prime (42956401963).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42956401896 and 42956401905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 380145094 + ... + 380145206.

Almost surely, 2^42956401950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42956401950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79803035136).

42956401950 is an abundant number, since it is smaller than the sum of its proper divisors (116649668322).

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

42956401950 is a wasteful number, since it uses less digits than its factorization.

42956401950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 42956401950 in words is "forty-two billion, nine hundred fifty-six million, four hundred one thousand, nine hundred fifty".