4011677040 has 240 divisors, whose sum is σ = 14667909408. Its totient is φ = 904200192.

The previous prime is 4011677023. The next prime is 4011677053. The reversal of 4011677040 is 407761104.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4011676989 and 4011677007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856144 + ... + 860816.

Almost surely, 2^4011677040 is an apocalyptic number.

4011677040 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 4011677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333954704).

4011677040 is an abundant number, since it is smaller than the sum of its proper divisors (10656232368).

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

4011677040 is a wasteful number, since it uses less digits than its factorization.

4011677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 4011677040 is about 63337.8010354007. The cubic root of 4011677040 is about 1588.9442300932.

The spelling of 4011677040 in words is "four billion, eleven million, six hundred seventy-seven thousand, forty".