1950143040 has 336 divisors, whose sum is σ = 7189378560. Its totient is φ = 502640640.

The previous prime is 1950143023. The next prime is 1950143081. The reversal of 1950143040 is 403410591.

1950143040 is a `hidden beast` number, since 195 + 0 + 1 + 430 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1950142995 and 1950143013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410156 + ... + 2410964.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 2^1950143040 is an apocalyptic number.

1950143040 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 1950143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

1950143040 is an abundant number, since it is smaller than the sum of its proper divisors (5239235520).

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

1950143040 is an equidigital number, since it uses as much as digits as its factorization.

1950143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1950143040 is about 44160.4239110088. The cubic root of 1950143040 is about 1249.3635245075.

The spelling of 1950143040 in words is "one billion, nine hundred fifty million, one hundred forty-three thousand, forty".