4987613400 has 384 divisors, whose sum is σ = 19509465600. Its totient is φ = 1023897600.

The previous prime is 4987613381. The next prime is 4987613419. The reversal of 4987613400 is 43167894.

It is an interprime number because it is at equal distance from previous prime (4987613381) and next prime (4987613419).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4111194 + ... + 4112406.

It is an arithmetic number, because the mean of its divisors is an integer number (50805900).

Almost surely, 2^4987613400 is an apocalyptic number.

4987613400 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 4987613400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754732800).

4987613400 is an abundant number, since it is smaller than the sum of its proper divisors (14521852200).

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

4987613400 is a wasteful number, since it uses less digits than its factorization.

4987613400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4987613400 is about 70623.0373178611. The cubic root of 4987613400 is about 1708.5627264965.

The spelling of 4987613400 in words is "four billion, nine hundred eighty-seven million, six hundred thirteen thousand, four hundred".