4019987543040 has 880 divisors, whose sum is σ = 16649321990400. Its totient is φ = 908471697408.

The previous prime is 4019987543029. The next prime is 4019987543053. The reversal of 4019987543040 is 403457899104.

4019987543040 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 98 + 7 + 543 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 258362781 + ... + 258378339.

It is an arithmetic number, because the mean of its divisors is an integer number (18919684080).

Almost surely, 2^{4019987543040} is an apocalyptic number.

4019987543040 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 4019987543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324660995200).

4019987543040 is an abundant number, since it is smaller than the sum of its proper divisors (12629334447360).

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

4019987543040 is a wasteful number, since it uses less digits than its factorization.

4019987543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15692 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4019987543040 in words is "four trillion, nineteen billion, nine hundred eighty-seven million, five hundred forty-three thousand, forty".