40148206761600 has 1440 divisors, whose sum is σ = 172743437110860. Its totient is φ = 9155491430400.

The previous prime is 40148206761587. The next prime is 40148206761623. The reversal of 40148206761600 is 616760284104.

40148206761600 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 8 + 20 + 6 + 7 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1611823219776 + 38536383541824 = 1269576^2 + 6207768^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×40148206761600² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5855065372 + ... + 5855072228.

Almost surely, 2^{40148206761600} is an apocalyptic number.

40148206761600 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 40148206761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86371718555430).

40148206761600 is an abundant number, since it is smaller than the sum of its proper divisors (132595230349260).

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

40148206761600 is a wasteful number, since it uses less digits than its factorization.

40148206761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40148206761600 in words is "forty trillion, one hundred forty-eight billion, two hundred six million, seven hundred sixty-one thousand, six hundred".