4740127390440 has 448 divisors, whose sum is σ = 17356434278400. Its totient is φ = 1157601424896.

The previous prime is 4740127390429. The next prime is 4740127390447. The reversal of 4740127390440 is 440937210474.

4740127390440 is a `hidden beast` number, since 4 + 7 + 40 + 12 + 73 + 90 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4740127390447) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48093931 + ... + 48192389.

It is an arithmetic number, because the mean of its divisors is an integer number (38742040800).

Almost surely, 2^{4740127390440} is an apocalyptic number.

4740127390440 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 4740127390440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678217139200).

4740127390440 is an abundant number, since it is smaller than the sum of its proper divisors (12616306887960).

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

4740127390440 is a wasteful number, since it uses less digits than its factorization.

4740127390440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98628 (or 98609 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 4740127390440 in words is "four trillion, seven hundred forty billion, one hundred twenty-seven million, three hundred ninety thousand, four hundred forty".