4951140480 has 384 divisors, whose sum is σ = 20089218240. Its totient is φ = 1107763200.

The previous prime is 4951140437. The next prime is 4951140547. The reversal of 4951140480 is 840411594.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820675 + ... + 826685.

Almost surely, 2^4951140480 is an apocalyptic number.

4951140480 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 4951140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044609120).

4951140480 is an abundant number, since it is smaller than the sum of its proper divisors (15138077760).

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

4951140480 is a wasteful number, since it uses less digits than its factorization.

4951140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6060 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4951140480 is about 70364.3409689880. The cubic root of 4951140480 is about 1704.3877977394.

It can be divided in two parts, 495 and 1140480, that multiplied together give a square (564537600 = 23760²).

The spelling of 4951140480 in words is "four billion, nine hundred fifty-one million, one hundred forty thousand, four hundred eighty".