4078137507840 has 1176 divisors, whose sum is σ = 16173664719408. Its totient is φ = 978447237120.

The previous prime is 4078137507817. The next prime is 4078137507841. The reversal of 4078137507840 is 487057318704.

4078137507840 is a `hidden beast` number, since 40 + 7 + 8 + 13 + 7 + 507 + 84 + 0 = 666.

It is a super-2 number, since 2×4078137507840² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078137507841) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42042654672 + ... + 42042654768.

It is an arithmetic number, because the mean of its divisors is an integer number (13753116258).

Almost surely, 2^{4078137507840} is an apocalyptic number.

4078137507840 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 4078137507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086832359704).

4078137507840 is an abundant number, since it is smaller than the sum of its proper divisors (12095527211568).

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

4078137507840 is an frugal number, since it uses more digits than its factorization.

4078137507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 4078137507840 in words is "four trillion, seventy-eight billion, one hundred thirty-seven million, five hundred seven thousand, eight hundred forty".